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Finding the Third Proportional to 316,872 and 688,608

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Solution

The third proportional to 316,872 and 688,608 is: 1,496,443.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,872 : 688,608 = 688,608 : x
  2. Step 2: Convert to fraction form
    316,872/688,608 = 688,608/x
  3. Step 3: Cross multiply
    316,872x = 688,608 × 688,608
  4. Step 4: Simplify right side
    316,872x = 474,180,977,664
  5. Step 5: Solve for x
    x = 474,180,977,664/316,872
  6. Step 6: Final answer
    x = 1,496,443.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.